Abstract
Although an operational amplifier is a nonlinear device, the existing methods of analysis of circuits with operational amplifiers view it as a linear element which possibly has an infinite gain. As a result, it is not clear to what extent the results thus obtained hold. In this paper we construct a general model of a (nonlinear) circuit containing operational amplifiers. Viewing such a network as an interconnection of a multiport withn operational amplifiers, we give conditions for solvability (i.e., for the existence of an input-output operator), and establish estimates for the error incurred by replacing such a system by an idealized system whose operational amplifiers have infinite gain. In this way we determine ranges for variables within which the traditional linear analysis gives results that fulfill given accuracy requirements.
Similar content being viewed by others
References
J. V. Wait, L. P. Huelsman and G. A. Korn,Introduction to Operational Amplifier Theory and Applications, McGraw-Hill, 1975.
P. R. Gray and R. G. Meyer,Analysis and Design of Analog Integrated Circuits, J. Wiley, 1977.
D. S. Stout and M. Kaufman,Handbook of Operational Amplifier Circuit Design, McGraw-Hill, 1976, Ch. 12.
B. Peikari,Fundamentals of Network Analysis and Synthesis, Prentice-Hall, 1974.
V. Dolezal, “Equations describing multidimensional causal systems,” SIAM J. Control, Vol. 11 (1973), pp. 306–322.
R. Saeks,Resolution Space, Operators and Systems, Springer-Verlag, 1973.
V. Dolezal and R. W. Newcomb, “A nonlinear impedance converter,”IEEE Trans. Circ. and Syst. Vol. CAS-28 (1981), pp. 149–152.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dolezal, V. Solvability and error bounds for nonlinear circuits containing operational amplifiers. Circuits Systems and Signal Process 1, 233–249 (1982). https://doi.org/10.1007/BF01600054
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01600054